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Finding the Fourth Proportional to 150.82, 226.02 and 120.01

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Solution

The fourth proportional to 150.82, 226.02 and 120.01 is: 179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.82 : 226.02 = 120.01 : x
  2. Step 2: Convert to fraction form
    150.82/226.02 = 120.01/x
  3. Step 3: Cross multiply
    150.82x = 226.02 × 120.01
  4. Step 4: Simplify right side
    150.82x = 27,124.66
  5. Step 5: Solve for x
    x = 27,124.66/150.82
  6. Step 6: Final answer
    x = 179.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.